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大跨度桥梁耦合抖振分析的有限元正交组合方法
引用本文:丁泉顺,陈艾荣,项海帆.大跨度桥梁耦合抖振分析的有限元正交组合方法[J].同济大学学报(自然科学版),2002,30(5):557-562.
作者姓名:丁泉顺  陈艾荣  项海帆
作者单位:同济大学土木工程防灾国家重点实验室,上海,200092
基金项目:国家自然科学基金重大资助项目 (5 9895 410 ),教育部优秀青年教师基金资助项目
摘    要:基于结构的固有模态坐标,提出了用于大跨度桥梁耦合抖振响应分析的 有限元正交组合(complete quadratic combination,CQC)方法。在合理假设基础上,推导出桥梁结构的节点等效气动抖振力公式。结合有限元方法和随机振动理论,给 出了桥梁结构节点位移和单元内力功率谱密度和方差响应的计算方法。该方法可以考虑自然风的任意风谱和空间相关性以及结构抖振响应的多模态耦合效应,且计算效率较高。

关 键 词:大跨度桥梁  气动耦合  抖振响应分析  有限元正交组合方法  随机振动
文章编号:0253-374X(2002)05-0557-06
修稿时间:2000年12月22

Finite-element and Complete Quadratic Combination Analysis of Coupled Buffeting for Long-span Bridges
DING Quan-shun,CHEN Ai-rong,XIANG Hai-fan.Finite-element and Complete Quadratic Combination Analysis of Coupled Buffeting for Long-span Bridges[J].Journal of Tongji University(Natural Science),2002,30(5):557-562.
Authors:DING Quan-shun  CHEN Ai-rong  XIANG Hai-fan
Abstract:A finite-element and CQC method for analyzing the coupled buffeting responses of long-span bridges is proposed in this paper based on the modal coordinates of structure.The formula of nodal equivalent aerodynamic buffeting forces is derived based on a reasonable hypothesis.The methodology for computing the power spectrum density and square deviation of nodal displacements and elemental internal forces of bridge structures is presented using the finite-element method and the random vibration theory.The method presented is very efficient and can consider the arbitrary spectrum and spatial coherence of natural winds and the multimode and intermode effects on the buffeting responses of bridge structures.
Keywords:long-span bridges  aerodynamic coupling  buffeting response analysis  finite-element and complete quadratic combination method  random vibration
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